Primordial Power Spectrum and Bispectrum from Lattice Simulations of Axion-U(1) Inflation

Kavli Affiliate: Eiichiro Komatsu

| First 5 Authors: Drew Jamieson, Drew Jamieson, , ,

| Summary:

We present primordial non-Gaussianity predictions from a new high-precision
code for simulating axion-U(1) inflation on a discrete lattice. We measure the
primordial scalar curvature power spectrum and bispectrum from our simulations,
determining their dependence on both scale and axion-gauge coupling strength.
Both the gauge-sourced power spectrum and the bispectrum exhibit a strong blue
tilt due to our choice of an $alpha$-attractor inflaton potential. We provide
fitting functions for the power spectrum and bispectrum that accurately
reproduce these statistics across a wide range of scales and coupling
strengths. While our fitting function for the bispectrum has a separable form,
results from high-resolution simulations demonstrate that the full shape is not
separable. Thus, our simulations generate realizations of primordial curvature
perturbations with nontrivial correlators that cannot be generated using
standard techniques for primordial non-Gaussianity. We derive bounds on the
axion-gauge coupling strength based on the bispectrum constraints from the
cosmic microwave background, demonstrating a new method for constraining
inflationary primordial non-Gaussianity by simulating the nonlinear dynamics.

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